In this paper, we characterize a real hypersurface in a non-flat complex space form whose structure tensor field and the Lie derivative in the direction of the Reeb vector field either commute or anti-commute.

real hypersurface, structure tensor field, model space of type A, Lie derivative

Received: October 18, 2024; Revised: January 19, 2025; Accepted: January 28, 2025; Published: March 21, 2025

How to cite this article: Dong Ho Lim and Hoonjoo Kim, Lie ξ-derivative of structure tensor field on real hypersurfaces in a non-flat complex space form, JP Journal of Geometry and Topology 31(1) (2025), 11-18. https://doi.org/10.17654/0972415X25002

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